# How many terms of the series are needed in order to estimate the exact sum within .01

## Homework Statement

How many terms of the series

Ʃ (-1)n/(ln(n+1))
n=1
are needed in order to estimate the exact sum within .01

## Homework Equations

I know that I need to use the remainder estimate for the integral test where Rn=s-sn

and that ∫ from (n+1) to ∞ of f(x)dx $\leq$ Rn $\leq$ ∫ from (n) to ∞ of f(x)dx

## The Attempt at a Solution

I tried to take the integral but I don't know how, and I cant figure out another way to approach the problem

LCKurtz